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The Hawking mass for ellipsoidal 2-surfaces in Minkowski and Schwarzschild spacetimes
Linköping University, Department of Mathematics.
2008 (English)Independent thesis Advanced level (degree of Magister), 20 points / 30 hpStudent thesis
Abstract [en]

In general relativity, the nature of mass is non-local. However, an appropriate def-inition of mass at a quasi-local level could give a more detailed characterization ofthe gravitational field around massive bodies. Several attempts have been made tofind such a definition. One of the candidates is the Hawking mass. This thesispresents a method for calculating the spin coefficients used in the expression for theHawking mass, and gives a closed-form expression for the Hawking mass of ellipsoidal2-surfaces in Minkowski spacetime. Furthermore, the Hawking mass is shown to havethe correct limits, both in Minkowski and Schwarzschild, along particular foliationsof leaves approaching a metric 2-sphere. Numerical results for Schwarzschild are alsopresented.

Place, publisher, year, edition, pages
2008. , 43 p.
Hawking mass, Quasi-local mass, General relativity, Ellipsoidal surface
National Category
Computational Mathematics
URN: urn:nbn:se:liu:diva-15414ISRN: LiTH-MAT-EX--08/14--SEOAI: diva2:114136
2008-09-22, Determinanten (MAI), Linköping University, 08:30 (Swedish)
Available from: 2008-12-05 Created: 2008-11-06 Last updated: 2008-12-05Bibliographically approved

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